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Finding the Third Proportional to 192,814 and 395,022

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Solution

The third proportional to 192,814 and 395,022 is: 809,289.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,814 : 395,022 = 395,022 : x
  2. Step 2: Convert to fraction form
    192,814/395,022 = 395,022/x
  3. Step 3: Cross multiply
    192,814x = 395,022 × 395,022
  4. Step 4: Simplify right side
    192,814x = 156,042,380,484
  5. Step 5: Solve for x
    x = 156,042,380,484/192,814
  6. Step 6: Final answer
    x = 809,289.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.